8 edition of Elements of the theory of functions of a complex variable found in the catalog.
|Statement||by Dr. H. Durège ... Authorized translation from the 4th German ed. by George Egbert Fisher ... and Isaac J. Schwatt ...|
|Contributions||Fisher, George Egbert, 1863-1920, tr., Schwatt, Isaac J. 1867- joint tr.|
|LC Classifications||QA331 .D95|
|The Physical Object|
|Pagination||xiii, 288 p.|
|Number of Pages||288|
|LC Control Number||04007780|
"First of all, we have developed the idea that an introductory book on this subject should emphasize how complex analysis is a natural outgrowth of multivariable real calculus. Complex function theory has, of course, long been an independently flourishing field. THEORY OF FUNCTIONS. PART I. ELEMENTS OF THE GENERAL THEORY OF ANALYTIC FUNCTIONS by Konrad Knopp This which is built upon that theory, and with the elements of Download elements of the theory of functions of a complex variable or read online here in PDF or EPUB. Knopp, Konrad (). Theory and Application of Infinite Series. Dover Publications.
(a) He must have a good elementary knowledge of the theory of analytic functions of one complex variable, as contained for instance in L. Ahlfors, Complex Analysis [!]• (b) He must know the basic definitions in the theory of functions of a real variable at the level of H. Roy den, Real Analysis  (see also Rudin ). Ahlfors, L. V., Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex Variable, Third Edition, McGraw-Hill, New York, Google Scholar Cited by:
The second edition of this comprehensive and accessible text continues to offer students a challenging and enjoyable study of complex variables that is infused with perfect balanced coverage of mathematical theory and applied topics. The author explains fundamental concepts and techniques with precision and introduces the students to complex variable theory through conceptual develop-ment of Reviews: 2. In mathematics, a function is a relation between sets that associates to every element of a first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.. Functions were originally the idealization of how a varying quantity depends on another quantity. For example, the position of a planet is a function of time.
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So this little introductory book (with no problem sets) outlines a stimulating "theory of functions", but it does not explore the breadth and power of analytic functions of complex variables.
these are covered in much greater depth in knopp's "theory of functions, vols. 1 & 2", as well as in the accompanying problem by: Volume 2 and 3 (Theory of Functions, Parts I and II) Table of Contents: PART I: ELEMENTS OF THE GENERAL THEORY OF ANALYTIC FUNCTIONS Section I.
Fundamental Concepts Chapter 1. Numbers and Points 1. Prerequisites 2. The Plane and Sphere of Complex Numbers 3. Point Sets and Sets of Numbers 4. Paths, Regions, Continua Chapter 2. Functions of a /5(9). Elements of the Theory of Functions of a Complex Variable by G.E. Fisher, I.J. Schwatt.
Publisher: Philadelphia G.E. Fisher ISBN/ASIN: Number of pages: Description: Contents: Geometric representation of imaginary quantities; Functions of a complex variable in general; Multiform functions; Integrals with complex variables; The logarithmic and exponential functions; General.
analysis three times in the last ﬁve years, and this book is the result. The course assumes that the student has seen the basics of real variable theory and point set topology. The elements of the topology of metrics spaces are presented (in the nature of a rapid review) in Chapter Size: 1MB.
Find many great new & used options and get the best deals for Elements of the Theory of Functions of a Complex Variable by H. Durege (, Hardcover) at the best online prices at. Functions of a complex variable. This book is designed for students who, having acquired a good working knowledge of the calculus, desire to become acquainted with the theory of functions of a complex variable, and with the principal applications of that us examples have been given throughout the book, and there is also a set of Miscellaneous Examples, arranged to correspond with.
Elements of the theory of functions of a complex variable with especial reference to the methods of Riemann. Complex Analysis has successfully maintained its place as the standard elementary text on functions of one complex variable.
There is, never theless, need for a new edition, partly because of changes in current mathe matical terminology, partly because of differences in student preparedness and aims. Full text of "Elements of the Theory of Functions of a Complex Variable" See other formats.
Elements of the theory of functions of a complex variable, with especial reference to the methods of Riemann. Authorized translation from the 4th German ed. by George Egbert Fisher and Isaac J. Schwatt by Durège, Heinrich, Pages: Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex is useful in many branches of mathematics, including algebraic geometry, number theory, analytic combinatorics, applied mathematics; as well as in physics, including the branches of hydrodynamics, thermodynamics, and.
Find many great new & used options and get the best deals for Elements of the Theory of Functions of a Complex Variable with Especial Reference to the Methods Of by George Egbert Fisher Durfge (, Hardcover) at the best online prices at eBay. Free shipping for many products.
The second Russian edition upon which this English translation is based differs from the first mainly in the expansion of two chapters and in the addition of a long survey of more recent developments. The book is intended for readers who are already familiar with the basics of the theory of functions of one complex variable.
The theory of complex variables is significant in pure mathematics, and the basis for important applications in applied mathematics (e.g. fluids). This text provides an introduction to the ideas that are met at university: complex functions, differentiability, integration theorems, with /5(11).
As an independent discipline, the theory of functions of a complex variable took shape in about the middle of the 19th century as the theory of analytic functions. The fundamental work here was that of A.L. Cauchy, K. Weierstrass and B. Riemann, who approached the development of the theory from various (different) points of view.
Theory of Functions of a Complex Variable by Heinrich Burkhardt. Publisher: D. Heath Number of pages: Description: Contents: Complex numbers and their geometrical representation; Rational functions of a complex variable and the conformal representations determined by them; Definitions and theorems on the theory of real variables and their functions; Single-valued analytic.
This book is intended as a textbook for a first course in the theory of functions of one complex variable for students who are mathematically mature enough to understand and execute E - 8 arguments.
The actual pre requisites for reading this book are quite minimal; not much more than a stiff course in basic calculus and a few facts about partial derivatives/5(4). The purpose of this book is to present the classical analytic function theory of several variables as a standard subject in a course of mathematics after learning the elementary materials (sets, general topology, algebra, one complex variable).
This includes the essential parts of Grauert–Remmert'sBrand: Springer Singapore. Analytic Functions We have considered partial complex derivatives. Now we introduce the notion of a total derivative by the formula dw dz = lim j¢zj!0 ¢w ¢z; (28) and immediately realize that in a general case of a complex-valued function of z, our deﬂnition is quitefrom Eq.
Complex Function Theory is a concise and rigorous introduction to the theory of functions of a complex variable. Written in a classical style, it is in the spirit of the books by Ahlfors and by Saks and Zygmund.
Being designed for a one-semester course, it. The two problem books in the series have also been packaged into one, Problem Book in the Theory of Functions (Dover, ). The remaining volume, Elements of the Theory of Functions (Dover, ) is out of print; it is introductory to the rest of the series and deals with complex numbers and convergence and elementary functions.A Guide to Complex Variables Steven G.
Krantz Octo iii To Paul Painlev´e (–). Table of Contents 6 The Geometric Theory of Holomorphic Functions 93 Real- and Complex-Valued Harmonic Functions A self-contained textbook, The Elements of Operator Theory, Second Edition is an excellent resource for the classroom as well as a self-study reference for researchers.
Prerequisites comprise an introduction to analysis and basic experience with functions of a complex variable, which most first-year graduate students in mathematics, engineering Brand: Birkhäuser Basel.